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有密度制约的Lotka-Volterra模型竞争系统 同时捕获的最优化
引用本文:殷华敏,霍锦霞.有密度制约的Lotka-Volterra模型竞争系统 同时捕获的最优化[J].经济研究导刊,2012(9):204-205,225.
作者姓名:殷华敏  霍锦霞
作者单位:陇东学院数学与统计学院;兰州城市学院数学系
基金项目:陇东学院2010年青年科技创新项目(XYZK1010)
摘    要:对有密度制约的Lotka-Volterra竞争系统的平衡点进行了定性分析,从生态学意义上给出了解释.此外分为已知正常数和未知两种情况给出了此系统的两种群同时捕获时的最大持续受益的条件。

关 键 词:Lotka-Volterra模型  竞争系统  同时捕获  最优捕获策略

Optimal Problem of Two Species Being Harvested Simultaneously for Prey-predator Systems
YIN Hua-min,HUO Jin-xia.Optimal Problem of Two Species Being Harvested Simultaneously for Prey-predator Systems[J].Economic Research Guide,2012(9):204-205,225.
Authors:YIN Hua-min  HUO Jin-xia
Institution:1.School of Mathematics and Statistics of Longdong University,Qingyang 745000,China; 2.Department of Mathematics of Lanhou City University,Lanzhou 730070,China)
Abstract:This paper analysizes qualitatiye property of the equilibrium for a continuous prey-predator systems,illustrates the existence of periodic solutions around center in point of ecology.In addition,the article gives the conditions of maximum sustainable economic revenue when two species of prey-predator systems are harvested simultanously.
Keywords:Lotka-Volterra model  competition system  simultaneous harvest  optimization strategy
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